projective plane
Two lines in a plane always intersect in a single point ... unless the lines are parallel. This annoying exception is constantly inserting itself into otherwise simple mathematical statements. Burkard Polster and Marty Ross explain how to get around the problem.
In the first of a new series 'Imaging Maths', Plus takes an illustrated tour of an extraordinary geometric construction: the Klein bottle.
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Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
A game you're almost certain to lose...
What are the challenges of communicating from the frontiers of mathematical research, and why should we be doing it?
Maths meets politics as early career mathematicians present their work at the Houses of Parliament.
Celebrate this year's International Women's Day with some of the articles and podcasts we have produced with women mathematicians over the last year!
How to sum an infinite series using chocolate.